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41420505540 = 22353134916379
BaseRepresentation
bin100110100100110110…
…101100000111000100
310221220122222200202210
4212210312230013010
51134312122134130
631010041103420
72664303326241
oct464466540704
9127818880683
1041420505540
1116625882967
12803b787b70
133ba146059b
14200d0da5c8
15112657c5b0
hex9a4dac1c4

41420505540 has 96 divisors (see below), whose sum is σ = 119771688960. Its totient is φ = 10684425600.

The previous prime is 41420505527. The next prime is 41420505557. The reversal of 41420505540 is 4550502414.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 41420505498 and 41420505507.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6490071 + ... + 6496449.

It is an arithmetic number, because the mean of its divisors is an integer number (1247621760).

Almost surely, 241420505540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41420505540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59885844480).

41420505540 is an abundant number, since it is smaller than the sum of its proper divisors (78351183420).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

41420505540 is a wasteful number, since it uses less digits than its factorization.

41420505540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9913 (or 9911 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 30.

The spelling of 41420505540 in words is "forty-one billion, four hundred twenty million, five hundred five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 620 930 1860 3491 6379 6982 10473 12758 13964 17455 19137 20946 25516 31895 34910 38274 41892 52365 63790 69820 76548 95685 104730 108221 127580 191370 197749 209460 216442 324663 382740 395498 432884 541105 593247 649326 790996 988745 1082210 1186494 1298652 1623315 1977490 2164420 2372988 2966235 3246630 3954980 5932470 6493260 11864940 22269089 44538178 66807267 89076356 111345445 133614534 222690890 267229068 334036335 445381780 668072670 690341759 1336145340 1380683518 2071025277 2761367036 3451708795 4142050554 6903417590 8284101108 10355126385 13806835180 20710252770 41420505540